If you are landing a punch at full extension of the arm, you are at the wrong range.
This is popping the elbow up over shoulder. VT elbow stays low.
You said your inside and outside gate punches don't change.
If you raise your elbow over your shoulder above the opponent's arm on the outside you won't wedge anything.
If you keep your elbow low under the opponent's arm on the inside, you won't wedge anything.
To work around this, you pivot to dodge and sink or raise your elbow to affect the incoming punch.
= Reactive arm-chasing.
Wow! You are seriously thick headed. Three levels, High, Medium, Low. I don't know about you but I don't punch on one plane. Again, it makes no sense to purposefully try and accomplish Gate Punching it should occur naturally during the course of punching, no arm chasing. If it happens it happens, if not nothing lost. You asked specifically how it would be performed when the opponent is punching you in the head like in the videos you presented. Hypothetically, it would occur as I have described numerous times, but you would not seek to purposefully do it. But to give you another example of how inside/outside gate are the done the same, require they are both performed at the same level:
Imagine a right punch being thrown at your chest, using your left hand, while pivoting left, you punch over his arm, your forearm knocks it offline as you hit his head. Now if it is the same punch being thrown with his left hand, you pivot right while punching with your right hand under his arm, your forearm knocks it offline as you strike his head. This would all be in middle level. If it were at high level (like in your videos), your arm has to extend more, causing the wrist and elbow to be higher than shoulder, otherwise you'll get hit. There is no rise or sink, you push the punch forward, the angle of the forearm is the wedge. Just as shown in the pictures of PB doing the outer gate punch.
Yes at times I do extend my arm fully, the full potential of power penetration is realized at fullest extension of the arm. It doesn't mean I'm punching from too far away, it means I'm punching through. The same concept is found in Long Fist. I don't care if this is proper for WSLVT or not, I don't do WSLVT.